GCF of 44/909, 646/829, 406/948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/909, 646/829, 406/948 i.e 2/238125276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/909, 646/829, 406/948.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 44/909,646/829,406/948?
Given fractions are 44/909,646/829,406/948
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 44/909,646/829,406/948, numerators are 44,646,406
Denominators are 909,829,948
The GCF of 44,646,406 is 2 .
LCM of 909,829,948 is 238125276.
The greatest common factor of 44/909,646/829,406/948 = [GCF of 44,646,406]/[LCM of 909,829,948]= 2/238125276
Therefore, the GCF of 44/909,646/829,406/948 is 2/238125276.
To find the highest common factor of 44,646,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 44,646,406 is 2.
Lets's calculate GCF of 44,646,406
| 2 | 44, 646, 406 |
| 22, 323, 203 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 44,646,406 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 44,646,406 . The biggest common factor number is the GCF number.
So the greatest common factor 44,646,406 is 2.
Lets's calculate LCM of 909,829,948
| 3 | 909, 829, 948 |
| 303, 829, 316 |
∴ So the LCM of the given numbers is 3 x 303 x 829 x 316 = 238125276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238125276
Therefore, the GCF of Fractions 44/909,646/829,406/948 is 2/238125276
Least Common Multiple of 909,829,948 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 909,829,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,829,948) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(909,829,948) x common factors =1 x 3 = 3
LCM(909,829,948) = ( 909 × 829 × 948 ) / 3
LCM(909,829,948) = 714375828 / 3
LCM(909,829,948) = 238125276
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 44/909, 646/829, 406/948
1. What is the HCF of 44,646,406?
The HCF of 44,646,406 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 44/909, 646/829, 406/948?
Answer: GCF of Numerators as per given numbers 44/909, 646/829, 406/948 is
GCF of Numerators i.e. for 44,646,406 is 2
LCM of denominators i.e. for 909,829,948 is 238125276.
Thus, GCF of Fractions is 2/238125276.Finally, GCF of Fractions for 44/909, 646/829, 406/948 is 2/238125276.